Estimation of Relative Risk, Correlation Coefficient, Odds Ratio and a Few Other Parameters Using Randomized Response Techniques

• Activity Number: 330 - Making Sense of Network Data and Randomized Response
• Type: Contributed
• Date/Time: Wednesday, August 5, 2020 : 10:00 AM to 2:00 PM
• Sponsor: Social Statistics Section
• Author(s): Cheon-Sig Lee* and Stephen Sedory and Sarjinder Singh
• Companies: San Jacinto College and Texas A&M University-Kingsville and Texas A&M Kingsville
• Keywords: Relative Risk; Correlation Coefficient; Odds Ratio; Randomized Response Models; Crossed Model

Abstract

In this paper, we have considered the problem of estimation of several parameters such as Relative Risk, Correlation Coefficient, Odds Ratio and a few other parameters by using the two randomized response models introduced by Lee, Sedory and Singh (2013). The expressions for the bias and mean squared errors of the proposed estimators are given. The performance among the proposed estimators has also been investigated using simulation studies. Programming codes used in simulation study are included. At the end, a real data example has also been discussed.